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Gompertz (Truncated Gumbel) Distribution

docs/tutorial:stats:continuous_gompertz

For $x \geq 0$ and $c > 0$ . In JKB the two shape parameters $b, a$ are reduced to the single shape-parameter $c = b / a$ . As $a$ is just a scale parameter when $a \neq = 0$ . If $a = 0,$ the distribution reduces to the exponential distribution scaled by $1/ b .$ Thus, the standard form is given as

h [X] = 1 - lo g (c) - e^{c} Ei (1, c),

where

Ei (n, x) = \int_{1}^{\infty} t^{- n} exp (- x t) d t

Implementation: scipy.stats.gompertz